Let's say x = full price tickets
Let's say y = student tickets
We can write two equations:
From "585 tickets were sold" we can make the equation:
x + y = 585
And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:
2.50x + 1.75y = 1,217.25
So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.
x + y = 585
x + y - y = 585 - y
x = 585 - y
Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25
Distribute your 2.50
1462.5 - 2.50y + 1.75y = 1217.25
Add the y's: 1462.5 - 0.75y = 1217.25
Subtract 1462.5 from both sides:
1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5
-0.75y = -245.25
Divide both sides by -0.75:
y = -245.25/-0.75
y = 327
There were 327 student tickets :)
Answer:
26.3 rev/min
Step-by-step explanation:
The angular velocity (ω) is the linear velocity divided by the radius ( r= 80 feet)
ω = 220/80 = 2.75 rad/s
The angular velocity and the frequency are related by:
ω = 2π*f
2.75 = 6.28*f
f = 2.75/6.28
f = 0.438 rev/s * 60s/1min
f = 26.3 rev/min
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.0.39
2.0.33
3.Loose
4.0.14
I did the first four... hope that helps
